72822431 has 8 divisors (see below), whose sum is σ = 79504464. Its totient is φ = 66150720.

The previous prime is 72822427. The next prime is 72822433. The reversal of 72822431 is 13422827.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72822431 - 2² = 72822427 is a prime.

It is a super-2 number, since 2×72822431² = 10606212913499522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72822394 and 72822403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72822433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25865 + ... + 28541.

It is an arithmetic number, because the mean of its divisors is an integer number (9938058).

Almost surely, 2^72822431 is an apocalyptic number.

72822431 is a deficient number, since it is larger than the sum of its proper divisors (6682033).

72822431 is a wasteful number, since it uses less digits than its factorization.

72822431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5161.

The product of its digits is 5376, while the sum is 29.

The square root of 72822431 is about 8533.6059787173. The cubic root of 72822431 is about 417.5947764322.

The spelling of 72822431 in words is "seventy-two million, eight hundred twenty-two thousand, four hundred thirty-one".